2121020200 has 192 divisors, whose sum is σ = 5521990320. Its totient is φ = 752640000.

The previous prime is 2121020191. The next prime is 2121020201. The reversal of 2121020200 is 20201212.

It can be written as a sum of positive squares in 24 ways, for example, as 49284 + 2120970916 = 222^2 + 46054^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2121020201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10766502 + ... + 10766698.

Almost surely, 2^2121020200 is an apocalyptic number.

2121020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760995160).

2121020200 is an abundant number, since it is smaller than the sum of its proper divisors (3400970120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121020200 is a wasteful number, since it uses less digits than its factorization.

2121020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2121020200 is about 46054.5350644212. The cubic root of 2121020200 is about 1284.8376908956.

Adding to 2121020200 its reverse (20201212), we get a palindrome (2141221412).

The spelling of 2121020200 in words is "two billion, one hundred twenty-one million, twenty thousand, two hundred".